Meridian estimator performance for samples of generalized Gaussian distribution

Abstract

Recently, a sample meridian estimator of location parameter (LP) has been proposed. It has been shown to be robust and adjustable by means of tunable parameter δ. Basic properties of this estimator were studied; however its practical behavior needs further analysis. In this paper, we study and analyze the efficiency of the meridian estimator for samples with essentially different properties. For this purpose, we use generalized Gaussian distribution as a model. Also, the efficiency of the meridian estimator is compared to the efficiency of median and myriad estimators.